Levenberg Marquardt in calibration opencv

Question

I tried to understand Levenberg-Marquardt algorithm implementation in OpenCv Camera Calibration. In W.Burger's paper-> here

I saw this Matrix in page 24.

So what does theoretically mean of this matrix' each cell?

And how it implemented in openCv code.

Answer 1

Levenberg Marquardt is a classical algorithm for non-linear optimization. OpenCV indeed uses it for camera calibration. One should understand the algorithm in general before diving into its usage in OpenCV. Specifically, the matrix that you've pointed out is the Jacobian, a generalization of one dimensional derivative to multidimensional function.